Mathematical Models for Planning Support


Book Description

In this paper we describe how computer systems can provide planners with active planning support, when these planners are carrying out their daily planning activities. This means that computer systems actively participate in the planning process by automatically generating plans or partial plans. Active planning support by computer systems requires the application of mathematical models and solution techniques. In this paper we describe the modeling process in general terms, as well as several modeling and solution techniques. We also present some background information on computational complexity theory, since most practical planning problems are hard to solve. We also describe how several objective functions can be handled, since it is rare that solutions can be evaluated by just one single objective. Furthermore, we give an introduction into the use of mathematical modeling systems, which are useful tools in a modeling context, especially during the development phases of a mathematical model. We finish the paper with a real life example related to the planning process of the rolling stock circulation of a railway operator.




Mathematical Models for Decision Support


Book Description

It is quite an onerous task to edit the proceedings of a two week long institute with learned contributors from many parts of the world. All the same, the editorial team has found the process of refereeing and reviewing the contributions worthwhile and completing the volume has proven to be a satisfying task. In setting up the institute we had considered models and methods taken from a number of different disciplines. As a result the whole institute - preparing for it, attending it and editing the proceedings - proved to be an intense learning experience for us. Here I speak on behalf of the committee and the editorial team. By the time the institute took place, the papers were delivered and the delegates exchanged their views, the structure of the topics covered and their relative positioning appeared in a different light. In editing the volume I felt compelled to introduce a new structure in grouping the papers. The contents of this volume are organised in eight main sections set out below: 1 . Abstracts. 2. Review Paper. 3. Models with Multiple Criteria and Single or Multiple Decision Makers. 4. Use of Optimisation Models as Decision Support Tools. 5. Role of Information Systems in Decision Making: Database and Model Management Issues. 6. Methods of Artificial Intelligence in Decision Making: Intelligent Knowledge Based Systems. 7. Representation of Uncertainty in Mathematical Models and Knowledge Based Systems. 8. Mathematical Basis for Constructing Models and Model Validation.




MATHEMATICAL MODELS – Volume II


Book Description

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.







Models in Planning


Book Description

Models in Planning: An Introduction to the Use of Quantitative Models in Planning focuses on some of the techniques utilized for the construction of urban and regional models, with emphasis on the understanding of model structure rather than on rigorous mathematical analysis. Organized into eight chapters, this book begins by explaining the role of models in the planning process. Subsequent chapters elucidate the principles for the design and use of models, and the mathematical preliminaries involved. The different models, namely, linear, gravity, and Lowry models, are also described including their optimization. This material will be very useful for students and practicing planners with a limited numerate background. It will allow readers to follow up the extensive literature dealing with the more complex operational versions of the discussed models.




An Introduction to Project Modeling and Planning


Book Description

This textbook teaches the basic concepts and methods of project management, but also explains how to convert it to useful results in practice. Project management offers a promising working area for theoretical and practical applications, and developing software and decision support systems (DSS). This book specifically focuses on project planning and control, with an emphasis on mathematical modeling. Models and algorithms establish a good starting point for students to study the relevant literature and support pursuing academic work in related fields. The book provides an introduction to theoretical concepts, and it also provides detailed explanations, application examples and case studies that deal with real life problems. The chapter topics include questions that underlie critical thinking, interpretation, analytics, and making comparisons. Learning outcomes are defined and the content of the book is structured in accordance with these goals. Chapter 1 begins by introducing the basic concepts, methods and processes of project management. Chapter 2 explores the fundamentals of organizing and managing projects from an organization's perspective. Issues related to project team formation, role of project managers, and matrix organization are discussed. Chapter 3 is devoted to project modeling and planning. It explains how to collect proper data in order to perform an analysis and develop mathematical models. Chapter 4 introduces deterministic scheduling models, which can be used in constructing the time schedules. Models employing time-based and finance-based objectives are introduced. Chapter 5 focuses on the time/cost trade-off problem, explaining how to reduce the duration of some of the activities and therefore accelerate the project duration at the expense of additional costs. Chapter 6 introduces different resource management policies including resource portfolio management. Chapter 7 discusses models and methods of scheduling in case of uncertainty models and methods of scheduling in case of uncertainty. Chapter 8 highlights contract types and payment schedules. It explores identification and allocation of risk in contracts, project control issues, disputes and resolution management. Different models and decision support systems are presented in Chapter 9 in order to investigate client-contractor negotiations and the bidding process from different aspects. Chapter 10 covers monitoring and control, mainly the processes and methods behind them. Chapter 11 brings together qualitative and quantitative techniques with simulation and software applications. The design of a risk management process is introduced in detail and at the hand of a case study. Chapter 12 examines several models and approaches of uncertainty in project scheduling, dealing with various aspects of stochastic nature of the decision environment and robustness. Chapter 13 explains the mathematical formulation and solution procedures for resource constrained project scheduling. The project selection problem is inherently a multi-objective problem and is treated as such in Chapter 14. Several models and solution techniques including robust selection methods are introduced. Finally Chapter 15 evaluates recent approaches and promising research areas in project management including strategic project management, agile approaches, and data management in project modeling in the big data era.




MATHEMATICAL MODELS – Volume III


Book Description

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.




Deterministic Lotsizing Models for Production Planning


Book Description

This thesis deals with timing and sizing decisions for production lots, and more precisely, with mathematical models to support optimal tim ing and sizing decisions. These models are called lotsizing models. They are characterized by the fact that production lots are determined based on a trade-offbetween production costs and customer service. Production costs can be categorized as basic production costs, which consist of material costs, labour costs, machine startup costs and over head costs, and inventory related costs, which include costs of capital tied up in inventory, insurances and taxes. Customer service is the capability of the firm to deliver to their clients the products in the quantity they ordered at the agreed upon time and place. The costs of realizing a certain service level are usuaIly very dif ficult to convert into money. They include costs of expediting, loss of customer goodwill, and loss of sales revenues resulting from the short age situation.




MATHEMATICAL MODELS – Volume I


Book Description

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.